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3 years ago

14

Layla and Bobby want to make 10 potholders each. If it takes one-eighth of a yard to make each potholder, how much total fabric

will they need? (Write your answer as a decimal number!)

1 answer:

Yuki888 [10]3 years ago

4 0

Answer: 1.25
explanation: you multiply the amount of fabric used for one by the amount of potholders
.125 x 10 = 1.25

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3/8(2x-8/3x)=21 solve the equation for x

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Answer:

$\boxed{\bold{x=-84}}$

Explanation:

Multiply Both Sides By 8:

= $\bold{8\cdot \frac{3}{8}\left(2x-\frac{8}{3}x\right)=21\cdot \:8}$

Simplify:

= $\bold{-2x=168}$

Divide Both Sides By -2:

= $\bold{\frac{-2x}{-2}=\frac{168}{-2}}$

Simplify:

= $\bold{x=-84}$

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The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constan

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d = r * t

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In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.

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Please solve with explanation I’ve been asking all day (this is not a multiple choice question)

Anastaziya [24]

Answer:

a) $SA = 522.9~cm^2$

b) $V_{cone} = 670.2~cm^3$

c) $V_{empty} = 1340.4~cm^3$

Step-by-step explanation:

a)

For a cone,

$SA = \pi r (L + r)$

where L = slant height

$L = \sqrt{r^2 + h^2}$

We have r = 8 cm; h = 10 cm

$L = \sqrt{(8~cm)^2 + (10~cm)^2}$

$L = \sqrt{164~cm^2}$

$SA = (\pi)(8~cm)(\sqrt{164~cm^2} + 8~cm)$

$SA = 522.9~cm^2$

b)

$V_{cone} = \dfrac{1}{3}\pi r^2 h$

$V_{cone} = \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{cone} = 670.2~cm^3$

c)

$V_{cylinder} = \pi r^2 h$

empty space = volume of cylinder - volume of cone

$V_{empty} = V_{cylinder} - V_{cone}$

$V_{empty} = \pi r^2 h - \dfrac{1}{3}\pi r^2 h$

$V_{empty} = (\pi)(8~cm)^2(10~cm) - \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{empty} = 1340.4~cm^3$

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